Pith Number

pith:XHGSBKXT

pith:2011:XHGSBKXTG2U4ZZLZXWBN4YKBYW

not attested not anchored not stored refs pending

Nagata embedding and A-schemes

Satoshi Takagi

arxiv:1107.3414 v2 · 2011-07-18 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHGSBKXTG2U4ZZLZXWBN4YKBYW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:11:39.452142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9cd20aaf336a9cce579bd82de6141c5a40c0a002f4f4a4ea728294f08995ed3

Aliases

arxiv: 1107.3414 · arxiv_version: 1107.3414v2 · doi: 10.48550/arxiv.1107.3414 · pith_short_12: XHGSBKXTG2U4 · pith_short_16: XHGSBKXTG2U4ZZLZ · pith_short_8: XHGSBKXT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XHGSBKXTG2U4ZZLZXWBN4YKBYW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b9cd20aaf336a9cce579bd82de6141c5a40c0a002f4f4a4ea728294f08995ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f72fb053cf3a3511147ac892c0116bb4ac39367606486edc1f7ce653ff23c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-18T12:24:02Z",
    "title_canon_sha256": "c6016149c63476c15cdda2a9bd87d65e11b7078edf7c9310f60f59092fa01701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3414",
    "kind": "arxiv",
    "version": 2
  }
}